2 papers
math.NA2024
A Well-Balanced Method for an Unstaggered Central Scheme, the two-space Dimensional Case
Yu-Chen Cheng, Christian Klingenberg, Rony Touma
We develop a second-order accurate central scheme for the two-dimensional hyperbolic system of in-homogeneous conservation laws. The main idea behind the scheme is that we combine…
math.NA2024
A Well-Balanced Method for an Unstaggered Central Scheme, the one-space Dimensional Case
Yu-Chen Cheng, Christian Klingenberg, Rony Touma
In this paper, we propose a new MUSCL scheme by combining the ideas of the Kurganov and Tadmor scheme and the so-called Deviation method which results in a well-balanced finite vol…